Search a number
-
+
2316709440 = 26325883911
BaseRepresentation
bin1000101000010110…
…0010111001000000
312222110022000220100
42022011202321000
514221034200230
61021515042400
7111260463633
oct21205427100
95873260810
102316709440
11a897a4101
12547a40400
132abc758b6
1417d97bc1a
15d85c2660
hex8a162e40

2316709440 has 168 divisors, whose sum is σ = 7986296448. Its totient is φ = 616412160.

The previous prime is 2316709397. The next prime is 2316709487. The reversal of 2316709440 is 449076132.

It is a super-2 number, since 2×23167094402 = 10734285258770227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2316709395 and 2316709404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2542585 + ... + 2543495.

Almost surely, 22316709440 is an apocalyptic number.

2316709440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2316709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993148224).

2316709440 is an abundant number, since it is smaller than the sum of its proper divisors (5669587008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2316709440 is a wasteful number, since it uses less digits than its factorization.

2316709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2316709440 is about 48132.2079277483. The cubic root of 2316709440 is about 1323.1950151558.

The spelling of 2316709440 in words is "two billion, three hundred sixteen million, seven hundred nine thousand, four hundred forty".